Question 1

Evaluate the function  at  . Round to 3 decimal places. (You may use your calculator.)
A) -2.241
B) undefined
C) 1.707
D) 4.272
E) -1.707

Accepted Answer

E

Question 2

Let Q represent a mass of radioactive radium (²²⁶Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram. A) 3.67 g B) 4.00 g C) 0.25 g D) 0.92 g E) 0.00 g

Accepted Answer

A

Question 3

Find the exact value of  without using a calculator.
A) 
B) 
C) 
D) -1
E)

Accepted Answer

A

Question 4

Condense the expression  to the logarithm of a single term.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Condense the expression  to the logarithm...

Question 5

Simplify the expression  .
A) The expression cannot be simplified.
B) 2
C) 3
D) -3
E) -9

Accepted Answer

The answer of Simplify the expression  .
A) The expression...

Question 6

Rewrite the exponential equation  in logarithmic form.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Rewrite the exponential equation  in logarithmic...

Question 7

Evaluate the function  at  . Round to 3 decimal places.
A) 4.190
B) 4.590
C) 14.611
D) 5.412
E) 2.890

Accepted Answer

The answer of Evaluate the function  at  ....

Question 8

Rewrite the logarithm  in terms of the common logarithm (base 10).
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Rewrite the logarithm  in terms of...

Question 9

Rewrite the logarithm  in terms of the natural logarithm.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Rewrite the logarithm  in terms of...

Question 10

Solve the equation  for x using the One-to-One Property.
A) -9
B) -11
C) 11
D) 0
E) The equation has no solution.

Accepted Answer

The answer of Solve the equation  for x using...

Question 11

Identify the value of the function  at  . Round to 3 decimal places.
A) 2.061
B) 4.745
C) 3.061
D) 3.561
E) 2.561

Accepted Answer

The answer of Identify the value of the function ...

Question 12

Evaluate the logarithm  using the change of base formula. Round to 3 decimal places.
A) -12.354
B) 0.089
C) 0.039
D) -0.098
E) -0.081

Accepted Answer

The answer of Evaluate the logarithm  using the change...

Question 13

Write the exponential equation  in logarithmic form.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the exponential equation  in logarithmic...

Question 14

What is the value of the function  at  ? Round to 3 decimal places.
A) 26.822
B) 99.373
C) 45.553
D) 599.708
E) 7.721

Accepted Answer

The answer of What is the value of the function...

Question 15

Rewrite the logarithmic equation  in exponential form.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Rewrite the logarithmic equation  in exponential...

Question 16

Evaluate the logarithm  using the change of base formula. Round to 3 decimal places.
A) 2.468
B) 2.921
C) 11.060
D) 5.684
E) 0.342

Accepted Answer

The answer of Evaluate the logarithm  using the change...

Question 17

Condense the expression  to the logarithm of a single term.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Condense the expression  to the logarithm...

Question 18

Identify the x-intercept of the function  .
A) 
B) 
C) 
D) The function has no x-intercept.
E)

Accepted Answer

The answer of Identify the x-intercept of the function ...

Question 19

Condense the expression  to the logarithm of a single term.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Condense the expression  to the logarithm...

Question 20

Simplify the expression  .
A) 9
B) 
C) 
D) The expression cannot be simplified.
E)

Accepted Answer

The answer of Simplify the expression  .
A) 9
B) 
C)...

Quiz 4: Exponential and Logarithmic Functions

Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)

Let Q represent a mass of radioactive radium (²²⁶Ra) (in grams) , whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.

Find the exact value of without using a calculator.

Condense the expression to the logarithm of a single term.

Simplify the expression .

Rewrite the exponential equation in logarithmic form.

Evaluate the function at . Round to 3 decimal places.

Rewrite the logarithm in terms of the common logarithm (base 10) .

Rewrite the logarithm in terms of the natural logarithm.

Solve the equation for x using the One-to-One Property.

Identify the value of the function at . Round to 3 decimal places.

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

Write the exponential equation in logarithmic form.

What is the value of the function at ? Round to 3 decimal places.

Rewrite the logarithmic equation in exponential form.

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

Condense the expression to the logarithm of a single term.

Identify the x-intercept of the function .

Condense the expression to the logarithm of a single term.

Simplify the expression .

Quiz 4: Exponential and Logarithmic Functions

Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)

Let Q represent a mass of radioactive radium (226Ra) (in grams) , whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.

Find the exact value of without using a calculator.

Condense the expression to the logarithm of a single term.

Simplify the expression .

Rewrite the exponential equation in logarithmic form.

Evaluate the function at . Round to 3 decimal places.

Rewrite the logarithm in terms of the common logarithm (base 10) .

Rewrite the logarithm in terms of the natural logarithm.

Solve the equation for x using the One-to-One Property.

Identify the value of the function at . Round to 3 decimal places.

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

Write the exponential equation in logarithmic form.

What is the value of the function at ? Round to 3 decimal places.

Rewrite the logarithmic equation in exponential form.

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

Condense the expression to the logarithm of a single term.

Identify the x-intercept of the function .

Condense the expression to the logarithm of a single term.

Simplify the expression .

Let Q represent a mass of radioactive radium (²²⁶Ra) (in grams) , whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.